Concentration inequalities for log-concave sequences
Probability
2026-02-19 v4 Information Theory
math.IT
Abstract
We investigate quantitative implications of the notion of log-concavity through a probabilistic interpretation. In particular, we derive concentration inequalities, moment and entropy bounds for random variables satisfying a precise degree of log-concavity. Along the way, we recover, improve, and simplify several results existing in the literature. Our approach is based on majorization in the convex order.
Cite
@article{arxiv.2205.08293,
title = {Concentration inequalities for log-concave sequences},
author = {Arnaud Marsiglietti and James Melbourne},
journal= {arXiv preprint arXiv:2205.08293},
year = {2026}
}
Comments
27 pages